GCF of 2865/376, 6210/8450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2865/376, 6210/8450 i.e 15/1588600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2865/376, 6210/8450.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2865/376,6210/8450?
Given fractions are 2865/376,6210/8450
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2865/376,6210/8450, numerators are 2865,6210
Denominators are 376,8450
The GCF of 2865,6210 is 15 .
LCM of 376,8450 is 1588600.
The greatest common factor of 2865/376,6210/8450 = [GCF of 2865,6210]/[LCM of 376,8450]= 15/1588600
Therefore, the GCF of 2865/376,6210/8450 is 15/1588600.
To find the highest common factor of 2865,6210, we have to find the factors of both numbers and list the highest common factor.
The factors of 2865 are 1, 3, 5, 15, 191, 573, 955, 2865
The factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210
The HCF of 2865,6210 is 15.
Lets's calculate GCF of 2865,6210
| 3 | 2865, 6210 |
| 5 | 955, 2070 |
| 191, 414 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2865,6210 By Matching Biggest Common Factor Method
Now, list down the factors of 2865
:1,3,5,15,191,573,955,2865
Now, list down the factors of 6210
:1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210
Greatest Common Factor
We found the factors 2865,6210 . The biggest common factor number is the GCF number.
So the greatest common factor 2865,6210 is 15.
Lets's calculate LCM of 376,8450
| 2 | 376, 8450 |
| 188, 4225 |
∴ So the LCM of the given numbers is 2 x 188 x 4225 = 1588600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1588600
Therefore, the GCF of Fractions 2865/376,6210/8450 is 15/1588600
Least Common Multiple of 376,8450 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 376,8450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,8450) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,8450) x common factors =2 x 1 = 2
LCM(376,8450) = ( 376 × 8450 ) / 2
LCM(376,8450) = 3177200 / 2
LCM(376,8450) = 1588600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2865/376, 6210/8450
1. What is the HCF of 2865,6210?
The HCF of 2865,6210 is 15
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2865/376, 6210/8450?
Answer: GCF of Numerators as per given numbers 2865/376, 6210/8450 is
GCF of Numerators i.e. for 2865,6210 is 15
LCM of denominators i.e. for 376,8450 is 1588600.
Thus, GCF of Fractions is 15/1588600.Finally, GCF of Fractions for 2865/376, 6210/8450 is 15/1588600.